Let's divide 435623 by 84
Our goal is to divide 435623 by 84.

Let's proceed to step 1:
84 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 84

Let's proceed to step 2:
When dividing 43 by 84, we get 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (5) from the dividend and append it to 43, then repeat: 435 / 84

Going ahead to step 3:
When dividing 435 by 84, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 420 from 435 and we're left with 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 84

Advancing to step 4:
The number 84 fits into 156 1 times, leaving a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtracting 84 from 156 leaves us with 72.
Grab the next digit (2) from the dividend, add it to 72, then carry on: 722 / 84

Moving on to step 5:
If we divide 722 by 84, we get 8 and a remainder of 50.
The next digit of our result is 8. 
Result so far: 518.0
Deduct 672 from 722 and we're left with 50.
Append the next digit (3) from the dividend to 50 and continue with: 503 / 84

Advancing to step 6:
If we divide 503 by 84, we get 5 and a remainder of 83.
Write down 5 as next digit of the result. 
Result so far: 5185.0
If we take 420 away from 503, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 7:
If we divide 830 by 84, we get 9 and a remainder of 74.
Record the quotient 9 as the next digit in the result. 
Result so far: 5185.9
If we subtract 756 from 830, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 8:
740 divided by 84 is 8 with a remainder of 68.
Put 8 as the next digit of the answer. 
Result so far: 5185.98
Subtract 672 from 740 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 9:
When dividing 680 by 84, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 5185.988
Subtract 672 from 680 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 5185.988, and the remainder is 0.0008.